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Finding the Fourth Proportional to 142,054.68, 213,026.64 and 53,259.80

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Solution

The fourth proportional to 142,054.68, 213,026.64 and 53,259.80 is: 79,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.68 : 213,026.64 = 53,259.80 : x
  2. Step 2: Convert to fraction form
    142,054.68/213,026.64 = 53,259.80/x
  3. Step 3: Cross multiply
    142,054.68x = 213,026.64 × 53,259.80
  4. Step 4: Simplify right side
    142,054.68x = 11,345,756,241.07
  5. Step 5: Solve for x
    x = 11,345,756,241.07/142,054.68
  6. Step 6: Final answer
    x = 79,868.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.